Semilocal convergence analysis and comparison of revisited computational efficiency of the sixth-order method in Banach spaces

Jai Prakash Jaiswal

The purpose of the this paper is to discuss the semilocal convergence analysis of the sixth-order method for solving nonlinear equations in Banach spaces by using recurrence relations approach. The existence and uniqueness results have been derived followed by its error bound. The revisited computational efficiency of the considered algorithm with identical as well as unlike order schemes is also analyzed. Lastly, theoretical results have been verified by discussing the numerical example.